Boys to girls

The ratio of boys to girls in a party is 3:5 . If 6 more boys arrived and 4 girls left the party, the ratio of boys to girls would be 5:6 . How many are in the party originally?

Correct result:

t =  64


 t=a+b a=3/5 b (a+6)=5/6 (b4)  a+bt=0 5a3b=0 6a5b=56  a=24 b=40 t=64

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